822975972 has 288 divisors, whose sum is σ = 2608349184. Its totient is φ = 199584000.

The previous prime is 822975961. The next prime is 822975973. The reversal of 822975972 is 279579228.

822975972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822975973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5450097 + ... + 5450247.

It is an arithmetic number, because the mean of its divisors is an integer number (9056768).

Almost surely, 2^822975972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822975972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304174592).

822975972 is an abundant number, since it is smaller than the sum of its proper divisors (1785373212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

822975972 is a wasteful number, since it uses less digits than its factorization.

822975972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 822975972 is about 28687.5577907915. The cubic root of 822975972 is about 937.1211044169.

The spelling of 822975972 in words is "eight hundred twenty-two million, nine hundred seventy-five thousand, nine hundred seventy-two".